Statistical test of anarchy

Gouvêa, André de; Murayama, Hitoshi

doi:10.1016/j.physletb.2003.08.045

Cited by 141 publications

(139 citation statements)

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“…The rather large measured value of θ 13 [3][4][5][6], close to the old CHOOZ bound [7] and to the Cabibbo angle, and the indication that θ 23 is not maximal both go in the direction of models based on Anarchy [8][9][10], i.e. of no symmetry in the leptonic sector, only chance (this possibility has been recently reiterated, for example, in ref.…”

Section: Introductionmentioning

confidence: 77%

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Repressing anarchy in neutrino mass textures

Altarelli

Feruglio

Masina

et al. 2012

J. High Energ. Phys.

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Abstract:The recent results that θ 13 is relatively large, of the order of the previous upper bound, and the indications of a sizable deviation of θ 23 from the maximal value are in agreement with the predictions of Anarchy in the lepton sector. The quark and charged lepton hierarchies can then be reproduced in a SU(5) GUT context by attributing nonvanishing U(1) FN charges, different for each family, only to the SU(5) tenplet states. The fact that the observed mass hierarchies are stronger for up quarks than for down quarks and charged leptons supports this idea. As discussed in the past, in the flexible context of SU(5) ⊗ U(1) FN , different patterns of charges can be adopted going from Anarchy to various types of hierarchy. We revisit this approach by also considering new models and we compare all versions to the present data. As a result we confirm that, by relaxing the ansatz of equal U(1) FN charges for all SU(5) pentaplets and singlets, better agreement with the data than for Anarchy is obtained without increasing the model complexity. We also present the distributions obtained in the different models for the Dirac CP-violating phase. Finally we discuss the relative merits of these simple models.

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Section: Introductionmentioning

confidence: 77%

“…• Anarchy (A) [8,10,11]. Neglecting the randomly generated coefficients, the texture of the mass matrices for charged leptons and neutrinos (with or without SeeSaw), expressed in powers of λ, reads explicitly The success rate for neutrino masses and mixing angles is independent of λ.…”

Section: Jhep11(2012)139mentioning

confidence: 99%

Repressing anarchy in neutrino mass textures

Altarelli

Feruglio

Masina

et al. 2012

J. High Energ. Phys.

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“…Therefore we use these distributions to examine the qualitative aspects of the mass distributions that follow from the landscape (4). The average hx i i and the standard deviation i of the three Yukawa eigenvalues (both on a logarithmic scale) can be calculated from the distributions (8)- (10): (8)- (10), and those of mixing angles given in (15) and (16). We have used the same max and min as are used in Fig.…”

Section: A the Distribution Of Mass Eigenvaluesmentioning

confidence: 99%

Statistical understanding of quark and lepton masses in Gaussian landscapes

2007

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The fundamental theory of nature may allow a large landscape of vacua. Even if the theory contains a unified gauge symmetry, the 22 flavor parameters of the standard model, including neutrino masses, may be largely determined by the statistics of this landscape, and not by any symmetry. Then the measured values of the flavor parameters do not lead to any fundamental symmetries, but are statistical accidents; their precise values do not provide any insights into the fundamental theory, rather the overall pattern of flavor reflects the underlying landscape. We investigate whether random selection from the statistics of a simple landscape can explain the broad patterns of quark, charged lepton, and neutrino masses and mixings. We propose Gaussian landscapes as simplified models of landscapes where Yukawa couplings result from overlap integrals of zero-mode wave functions in higher-dimensional supersymmetric gauge theories. In terms of just five free parameters, such landscapes can account for all gross features of flavor, including the hierarchy of quark and charged-lepton masses; small quark mixing angles in the basis with quarks arranged according to mass, with 13 mixing less than 12 and 23 mixing; very light Majorana neutrino masses, with the solar to atmospheric neutrino mass ratio consistent with data; distributions for leptonic mixings sin2 12 and sin2 23 that are peaked at large values, while the distribution for sin2 13 is peaked at low values; and order unity CP-violating phases in both the quark and lepton sectors. While the statistical distributions for flavor parameters are broad, the distributions are robust to changes in the geometry of the extra dimensions. Constraining the distributions by loose cuts about observed values leads to narrower distributions for neutrino measurements of 13 , CP violation, and neutrinoless double beta decay.

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“…We do not require that the other two mixing angles or the mass squared differences be predicted, but all mixing angles for which information is given are listed in the tables. Models In Table I we list 26 models cited in [18] and [35] - [54] which exhibit one of the lepton flavor symmetry types: anarchy, L e − L µ − L τ , S 3 or S 4 , A 4 , SO(3), and texture zeroes. Only six of them have firm predictions for all three mixing angles.…”

Section: Results For the Models Surveyedmentioning

confidence: 99%